Question

the largest angle of a triangle is twice the sum of the other two,the smallest is one fourth of the largest .find the angles in degrees
by elimination method​

Answer 1

Answer:

x =120 y =z=30

Step-by-step explanation:

let the angles are x, y, z

x be the largest and z be the smallest

x = 2(y+z) ___(1)

z= x/4______(2)

we also have x+ y+ z = 180

from 1 (y+ z) = x/2

x + x/2 = 180

3x/2 =180

3x =360

x = 120

substitute x in (2)

z = 120/4 =30

substitute z and x in 1

120 = 2(y + 30)

60 = y +30

y = 30